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Finding the Fourth Proportional to 70.71, 106.07 and 50.37

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Solution

The fourth proportional to 70.71, 106.07 and 50.37 is: 75.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    70.71 : 106.07 = 50.37 : x
  2. Step 2: Convert to fraction form
    70.71/106.07 = 50.37/x
  3. Step 3: Cross multiply
    70.71x = 106.07 × 50.37
  4. Step 4: Simplify right side
    70.71x = 5,342.49
  5. Step 5: Solve for x
    x = 5,342.49/70.71
  6. Step 6: Final answer
    x = 75.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.